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Finding the Fourth Proportional to 19,866.95, 29,789.19 and 6,536.33

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Solution

The fourth proportional to 19,866.95, 29,789.19 and 6,536.33 is: 9,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.95 : 29,789.19 = 6,536.33 : x
  2. Step 2: Convert to fraction form
    19,866.95/29,789.19 = 6,536.33/x
  3. Step 3: Cross multiply
    19,866.95x = 29,789.19 × 6,536.33
  4. Step 4: Simplify right side
    19,866.95x = 194,712,082.09
  5. Step 5: Solve for x
    x = 194,712,082.09/19,866.95
  6. Step 6: Final answer
    x = 9,800.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.